Smallest Euler characteristic of a downset on an n-dimensional cube.

Terms

a(0) =0a(1) =-1a(2) =-2a(3) =-3a(4) =-4a(5) =-10a(6) =-20a(7) =-35a(8) =-56a(9) =-126a(10) =-252a(11) =-462a(12) =-792a(13) =-1716a(14) =-3432a(15) =-6435a(16) =-11440a(17) =-24310a(18) =-48620a(19) =-92378a(20) =-167960a(21) =-352716a(22) =-705432a(23) =-1352078a(24) =-2496144a(25) =-5200300a(26) =-10400600a(27) =-20058300a(28) =-37442160a(29) =-77558760